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National Park Service

Civil War to Civil Rights: From Pea Ridge to Central High

For Teachers 4th - 12th Standards
Explore how the Civil War impacted the Civil Rights Movement. Class members complete a series of projects for a unit that uses a layered curriculum approach to learning. 
Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 2

For Teachers 11th - 12th Standards
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Lesson Plan
EngageNY

Law of Sines

For Teachers 11th - 12th Standards
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
Lesson Plan
EngageNY

An Application of Linear Equations

For Teachers 8th Standards
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more...
Lesson Plan
EngageNY

Law of Cosines

For Teachers 11th - 12th Standards
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
Lesson Plan
EngageNY

Waves, Sinusoids, and Identities

For Teachers 11th - 12th Standards
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Lesson Plan
EngageNY

First Consequences of FTS

For Teachers 8th Standards
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to...
Lesson Plan
EngageNY

Scatter Plots

For Teachers 8th Standards
Scholars learn to create scatter plots and investigate any relationships that exists between the variables with a lesson that also show them that statistical relationships do not necessarily indicate a cause-and-effect...
Lesson Plan
EngageNY

Multiplication of Numbers in Exponential Form

For Teachers 8th Standards
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Lesson Plan
EngageNY

Determining the Equation of a Line Fit to Data

For Teachers 8th Standards
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
Lesson Plan
EngageNY

Numbers in Exponential Form Raised to a Power

For Teachers 8th Standards
Develop an understanding of the properties of exponents through this series of activities. This third lesson of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.
Lesson Plan
EngageNY

Negative Exponents and the Laws of Exponents

For Teachers 8th Standards
Apply the properties of exponents to expressions with negative exponents. The fifth lesson in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the...
Lesson Plan
EngageNY

Magnitude

For Students 8th Standards
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
Lesson Plan
EngageNY

Scientific Notation

For Students 8th Standards
Young mathematicians learn how scientific notation is meant to save time. Part 10, out of a series of 15, asks scholars to recognize the correct use of scientific notation and finish by adding and subtracting numbers using...
Lesson Plan
EngageNY

Association Between Categorical Variables

For Teachers 8th Standards
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The lesson challenges them to calculate relative...
Lesson Plan
EngageNY

Linear Equations in x

For Teachers 8th Standards
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
Lesson Plan
EngageNY

Writing and Solving Linear Equations

For Teachers 8th Standards
Incorporate geometry into the solving linear equations lesson plan. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context...
Lesson Plan
EngageNY

Definition of Translation and Three Basic Properties

For Students 8th Standards
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
Lesson Plan
EngageNY

More on the Angles of a Triangle

For Students 8th Standards
Angles and triangles: they're all connected. Uncover the connections between angles in triangles. Scholars learn how to find both exterior and interior angle measures in triangles. The instructional activity emphasizes the vocabulary...
Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

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